document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515247>Question 515247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the maximum value of the function\r<BR>\n" );
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document.write( "f(x)= 3+4x^2-x^4\r<BR>\n" );
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document.write( "hint: let t=x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343874 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can maximize\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?f(x) = \LARGE 3 + 4t - t^2 = -t^2 + 4t + 3\">\r<BR>\n" );
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document.write( "The vertex occurs at t = -(4/-2) = 2. If t = 2, then we can replace t = 2 (or x = sqrt(2)) to obtain 7 as the maximum value. </SPAN>\n" );
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